• International Journal of Fuzzy Logic and Intelligent Systems
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• 제12권3호
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• pp.215-225
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• 2012

We initiate the study of interval-valued fuzzy quasi-ideal of a semigroup. In Section 2, we list some basic definitions in the later sections. In Section 3, we investigate interval-valued fuzzy subsemigroups and in Section 4, we define interval-valued fuzzy quasi-ideals and establish some of their basic properties. In Section 5, we obtain characterizations of regular and intraregular semigroups using the machinery developed in the preceding sections.

• Journal of Korean Neurosurgical Society
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• 제63권5호
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• pp.614-622
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• 2020

Objective : The method of approach during transforaminal endoscopic lumbar discectomy (TELD) has been the subject of repeated study. However, the ideal entry point during TELD has not been studied in detail. Therefore, this study investigated the ideal entry point for avoiding complications using computed tomography (CT) scans obtained from patients in the prone position. Methods : Using CT scans obtained from patients in the prone position, we checked for retroperitoneal or visceral violations and measured the angles of approach with five conventional approach lines drawn on axial CT scans at each disc space level (L2-3, L3-4, and L4-5). We also determined the ideal entry point distance and approach angles for avoiding retroperitoneal or visceral violations. Correlation analysis was performed to identify the patient characteristics related to the ideal entry point properties. Results : We found that the far lateral approach at the L2-3 level resulted in high rates of visceral violation. However, rates of visceral violation at the L3-4 and L4-5 levels were remarkably low or absent. The ideal angles of approach decreased moving caudally along the spine, and the ideal entry point distances increased moving caudally along the spine. Weight, body mass index (BMI), and the depth of the posterior vertebral line from the skin were positively associated with the distance of the ideal entry point from the midline. Conclusion : We reviewed the risk of the extreme lateral approach by analyzing rates of retroperitoneal and visceral violations during well-known methods of approach. We suggested an ideal entry point at each level of the lumbar spine and found a positive correlation between the distance of the entry point to the midline and patient characteristics such as BMI, weight, and the depth of the posterior vertebral line from the skin.

• East Asian mathematical journal
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• 제15권1호
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• pp.11-17
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• 1999

• 대한가정학회지
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• 제47권1호
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• pp.45-54
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• 2009

The purpose of the study is to examine the characteristics of the ideal housing for the modern family suggested by the Home Exposition (September, 1915) under the Japanese colonial rule in the macroscopic context of social change and the microscopic context of family. Through this research, we expect to have a partial understanding not only of changes in the outward appearance of traditional housing spaces during the civilization period and the early Japanese colonial rule when foreign cultures began to be introduced but also of families'residential lives and the patterns of change in people's consciousness of housing. Major conclusions from the current analysis are as follows. First, there were some changes in family paradigm induced through a home exhibition. Second, the most important factor for an ideal housing was that it must be the source of harmonic and healthy family life. Third, the importance of an appropriate space norm should be emphasized by providing the minimum size of each room. Fourth, the significance of the housing values of the economy, convenience, and hygiene should be emphasized for the ideal housing. Lastly, it was implied that for an ideal housing, the social and psychological aspects of housing must be satisfied along with the physical aspects. The limitation was that the model of ideal family housing presented in the Home Exposition cannot exclude the characteristics of the colonial perspectives in that it was followed by the model for the Japanese families.

• Korean Journal of Mathematics
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• 제9권2호
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• pp.99-104
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• 2001

We give the characterization of left(right) semi-regular $po$-semigroups and $Ve$-semigroups.

• 충청수학회지
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• 제10권1호
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• pp.1-7
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• 1997

We characterize fuzzy ideals in near-rings and extensions of such ideals with the sup property.

• 대한수학회논문집
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• 제22권3호
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• pp.323-330
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• 2007

In this paper we introduce the notion of strongly regular near-subtraction semigroups (right). We have shown that a near-subtraction semigroup X is strongly regular if and only if it is regular and without non zero nilpotent elements. We have also shown that in a strongly regular near-subtraction semigroup X, the following holds: (i) Xa is an ideal for every a $\in$ X (ii) If P is a prime ideal of X, then there exists no proper k-ideal M such that P $\subset$ M (iii) Every ideal I of X fulfills $I=I^2$.

• 대한수학회보
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• 제35권4호
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• pp.615-624
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• 1998

We consider a generalization of [1. theorem 2.5]. We give a description of the element of $_{\mathcal I}^l$(resp. $_{\mathcal I} ^r$), where A and B are left (resp. right)${\mathcal I}$-ideals of an IS-algebra X. For a nonempty left (resp. right) stable, we obtain a condition for $_{\mathcal I}^l$(resp. $_{\mathcal I}^l$) to be closed. We give a characterization of a closed $\mathcal I$-ideal in an IS-algebra, and show that in a finite IS-algebra, every $\mathcal I$-ideal is closed.

• 대한수학회보
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• 제45권4호
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• pp.797-800
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• 2008

Let R be a ring and I be a proper ideal of R. For the case of R being commutative, Anderson proved that (*) there are only finitely many prime ideals minimal over I whenever every prime ideal minimal over I is finitely generated. We in this note extend the class of rings that satisfies the condition (*) to noncommutative rings, so called homomorphically IFP, which is a generalization of commutative rings. As a corollary we obtain that there are only finitely many minimal prime ideals in the polynomial ring over R when every minimal prime ideal of a homomorphically IFP ring R is finitely generated.

• 대한수학회보
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• 제54권1호
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• pp.99-124
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• 2017

The structure theorems [3, 6, 21] for the classes of perfect ideals of grade 3 have been generalized to the structure theorems for the classes of perfect ideals linked to almost complete intersections of grade 3 by a regular sequence [15]. In this paper we obtain structure theorems for two classes of Gorenstein ideals of grade 4 expressed as the sum of a perfect ideal of grade 3 (except a Gorenstein ideal of grade 3) and an almost complete intersection of grade 3 which are geometrically linked by a regular sequence.